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Fuzzy Hv-rings | ||
| Journal of New Researches in Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 آذر 1401 | ||
| نوع مقاله: research paper | ||
| شناسه دیجیتال (DOI): 10.30495/jnrm.2022.67489.2274 | ||
| نویسندگان | ||
Mohsen Asghari-Larimi  1؛ mostafa taheri1؛ Mehran Yousefidaz2
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| 1Assistant Professor of Mathematics, Faculty of Basic Sciences‎, ‎Golestan University‎, Gorgan‎, ‎Iran | ||
| 2PhD student in Mathematics, Faculty of Basic Sciences‎, ‎Golestan University‎, Gorgan‎, ‎Iran | ||
| چکیده | ||
| Algebraic hyperstructures are a suitable generalization of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructures, the composition of two elements is a set. Given the importance of research in the field of algebraic hyperstructures and fuzzy logic, research on the relationship between them, especially research on the concept of fuzzy Hv-structures is of particular importance. Hv-structures are hyperstructures in which “equality” is replaced by “nonempty intersections”. In this note we generalize the notion of a Hv-rings H to a fuzzy Hv-rings by replacing P(H), the set of all subsets of H, by F(H), the set of all fuzzy subset of H. In this regard, first the concept of fuzzy Hv-rings is expressed and examples and basic results of this definition are presented. In the following, the concept of p-cut of fuzzy Hv-rings is expressed and also the relationship between fuzzy Hv-rings and Hv-rings is investigated. | ||
| کلیدواژهها | ||
| Hyperstructure؛ Hv-ring؛ Fuzzy Hv-semigroup؛ Fuzzy Hv-ring | ||
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آمار تعداد مشاهده مقاله: 40 |
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